Real Algebraic and Analytic Geometry

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107. Josť F. Fernando, Josť M. Gamboa:
Polynomial and regular images of Rn.

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Submission: 2004, May 27.

We obtain new necessary conditions for an n-dimensional semialgebraic subset of R^n to be a polynomial image of R^n. Moreover, we prove that a large family of planar bidimensional semialgebraic sets with piecewise linear boundary are images of polynomial or regular maps, and we estimate in both cases the dimension of their generic fibers. .

Mathematics Subject Classification (2000): 14P10, 14Q99.

Keywords and Phrases: polynomial image, semialgebraic set, exterior boundary, convex polygon.

Full text, 30p.: pdf 307k.

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